some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.

It can be very time consuming to use the conventional numerical methods, such as the ®nite element method, to solve convection± dispersion equations, especially for solutions of large-scale, long-term solute transport in porous media. In addition, the conventional methods are subject to arti®cial di€usion and oscillation when used to solve convection-dominant solute transport problems. In this ...

We propose and justify a new approach to constructing optimal nonlinear transforms of random vectors. We show that the proposed transform improves such characteristics of rank-reduced transforms as compression ratio, accuracy of decompression and reduces required computational work. The proposed transform Tp is presented in the form of a sum with p terms where each term is interpreted as a part...

With the increasing dominance of the transform coding technique virtually in every image and video coding schemes proposed up to date, e cient transform coding system implementation has become an important research topic. This thesis addresses two system issues that may arise in practice: (i) e cient architecture designs for the discrete wavelet transform; and (ii) e cient transform coding for ...

In this paper, we describe an improved method of personal positioning and orientation using image registration between input video frames and panoramic images captured beforehand. In our previous work, we proposed the method of image registration with an a ne transform. However, the a ne transform is generally not capable of image registration between a frame and a panorama. We improved the pre...